annotate libcruft/arpack/src/dseupd.f @ 12274:9f5d2ef078e8 release-3-4-x

import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
author John W. Eaton <jwe@octave.org>
date Fri, 28 Jan 2011 14:04:33 -0500
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children 126d8fe48a12
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1 c\BeginDoc
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2 c
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3 c\Name: dseupd
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4 c
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5 c\Description:
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6 c
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7 c This subroutine returns the converged approximations to eigenvalues
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8 c of A*z = lambda*B*z and (optionally):
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9 c
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10 c (1) the corresponding approximate eigenvectors,
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11 c
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12 c (2) an orthonormal (Lanczos) basis for the associated approximate
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13 c invariant subspace,
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14 c
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15 c (3) Both.
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16 c
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17 c There is negligible additional cost to obtain eigenvectors. An orthonormal
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18 c (Lanczos) basis is always computed. There is an additional storage cost
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19 c of n*nev if both are requested (in this case a separate array Z must be
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20 c supplied).
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21 c
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22 c These quantities are obtained from the Lanczos factorization computed
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23 c by DSAUPD for the linear operator OP prescribed by the MODE selection
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24 c (see IPARAM(7) in DSAUPD documentation.) DSAUPD must be called before
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25 c this routine is called. These approximate eigenvalues and vectors are
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26 c commonly called Ritz values and Ritz vectors respectively. They are
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27 c referred to as such in the comments that follow. The computed orthonormal
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28 c basis for the invariant subspace corresponding to these Ritz values is
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29 c referred to as a Lanczos basis.
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30 c
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31 c See documentation in the header of the subroutine DSAUPD for a definition
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32 c of OP as well as other terms and the relation of computed Ritz values
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33 c and vectors of OP with respect to the given problem A*z = lambda*B*z.
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34 c
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35 c The approximate eigenvalues of the original problem are returned in
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36 c ascending algebraic order. The user may elect to call this routine
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37 c once for each desired Ritz vector and store it peripherally if desired.
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38 c There is also the option of computing a selected set of these vectors
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39 c with a single call.
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40 c
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41 c\Usage:
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42 c call dseupd
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43 c ( RVEC, HOWMNY, SELECT, D, Z, LDZ, SIGMA, BMAT, N, WHICH, NEV, TOL,
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44 c RESID, NCV, V, LDV, IPARAM, IPNTR, WORKD, WORKL, LWORKL, INFO )
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45 c
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46 c RVEC LOGICAL (INPUT)
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47 c Specifies whether Ritz vectors corresponding to the Ritz value
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48 c approximations to the eigenproblem A*z = lambda*B*z are computed.
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49 c
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50 c RVEC = .FALSE. Compute Ritz values only.
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51 c
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52 c RVEC = .TRUE. Compute Ritz vectors.
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53 c
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54 c HOWMNY Character*1 (INPUT)
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55 c Specifies how many Ritz vectors are wanted and the form of Z
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56 c the matrix of Ritz vectors. See remark 1 below.
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57 c = 'A': compute NEV Ritz vectors;
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58 c = 'S': compute some of the Ritz vectors, specified
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59 c by the logical array SELECT.
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60 c
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61 c SELECT Logical array of dimension NCV. (INPUT/WORKSPACE)
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62 c If HOWMNY = 'S', SELECT specifies the Ritz vectors to be
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63 c computed. To select the Ritz vector corresponding to a
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64 c Ritz value D(j), SELECT(j) must be set to .TRUE..
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65 c If HOWMNY = 'A' , SELECT is used as a workspace for
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66 c reordering the Ritz values.
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67 c
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68 c D Double precision array of dimension NEV. (OUTPUT)
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69 c On exit, D contains the Ritz value approximations to the
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70 c eigenvalues of A*z = lambda*B*z. The values are returned
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71 c in ascending order. If IPARAM(7) = 3,4,5 then D represents
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72 c the Ritz values of OP computed by dsaupd transformed to
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73 c those of the original eigensystem A*z = lambda*B*z. If
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74 c IPARAM(7) = 1,2 then the Ritz values of OP are the same
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75 c as the those of A*z = lambda*B*z.
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76 c
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77 c Z Double precision N by NEV array if HOWMNY = 'A'. (OUTPUT)
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78 c On exit, Z contains the B-orthonormal Ritz vectors of the
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79 c eigensystem A*z = lambda*B*z corresponding to the Ritz
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80 c value approximations.
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81 c If RVEC = .FALSE. then Z is not referenced.
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82 c NOTE: The array Z may be set equal to first NEV columns of the
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83 c Arnoldi/Lanczos basis array V computed by DSAUPD .
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84 c
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85 c LDZ Integer. (INPUT)
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86 c The leading dimension of the array Z. If Ritz vectors are
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87 c desired, then LDZ .ge. max( 1, N ). In any case, LDZ .ge. 1.
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88 c
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89 c SIGMA Double precision (INPUT)
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90 c If IPARAM(7) = 3,4,5 represents the shift. Not referenced if
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91 c IPARAM(7) = 1 or 2.
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92 c
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93 c
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94 c **** The remaining arguments MUST be the same as for the ****
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95 c **** call to DSAUPD that was just completed. ****
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96 c
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97 c NOTE: The remaining arguments
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98 c
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99 c BMAT, N, WHICH, NEV, TOL, RESID, NCV, V, LDV, IPARAM, IPNTR,
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100 c WORKD, WORKL, LWORKL, INFO
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101 c
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102 c must be passed directly to DSEUPD following the last call
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103 c to DSAUPD . These arguments MUST NOT BE MODIFIED between
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104 c the the last call to DSAUPD and the call to DSEUPD .
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105 c
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106 c Two of these parameters (WORKL, INFO) are also output parameters:
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107 c
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108 c WORKL Double precision work array of length LWORKL. (OUTPUT/WORKSPACE)
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109 c WORKL(1:4*ncv) contains information obtained in
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110 c dsaupd . They are not changed by dseupd .
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111 c WORKL(4*ncv+1:ncv*ncv+8*ncv) holds the
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112 c untransformed Ritz values, the computed error estimates,
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113 c and the associated eigenvector matrix of H.
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114 c
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115 c Note: IPNTR(8:10) contains the pointer into WORKL for addresses
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116 c of the above information computed by dseupd .
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117 c -------------------------------------------------------------
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118 c IPNTR(8): pointer to the NCV RITZ values of the original system.
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119 c IPNTR(9): pointer to the NCV corresponding error bounds.
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120 c IPNTR(10): pointer to the NCV by NCV matrix of eigenvectors
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121 c of the tridiagonal matrix T. Only referenced by
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122 c dseupd if RVEC = .TRUE. See Remarks.
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123 c -------------------------------------------------------------
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124 c
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125 c INFO Integer. (OUTPUT)
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126 c Error flag on output.
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127 c = 0: Normal exit.
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128 c = -1: N must be positive.
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129 c = -2: NEV must be positive.
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130 c = -3: NCV must be greater than NEV and less than or equal to N.
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131 c = -5: WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.
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132 c = -6: BMAT must be one of 'I' or 'G'.
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133 c = -7: Length of private work WORKL array is not sufficient.
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134 c = -8: Error return from trid. eigenvalue calculation;
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135 c Information error from LAPACK routine dsteqr .
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136 c = -9: Starting vector is zero.
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137 c = -10: IPARAM(7) must be 1,2,3,4,5.
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138 c = -11: IPARAM(7) = 1 and BMAT = 'G' are incompatible.
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139 c = -12: NEV and WHICH = 'BE' are incompatible.
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140 c = -14: DSAUPD did not find any eigenvalues to sufficient
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141 c accuracy.
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142 c = -15: HOWMNY must be one of 'A' or 'S' if RVEC = .true.
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143 c = -16: HOWMNY = 'S' not yet implemented
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144 c = -17: DSEUPD got a different count of the number of converged
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145 c Ritz values than DSAUPD got. This indicates the user
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146 c probably made an error in passing data from DSAUPD to
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147 c DSEUPD or that the data was modified before entering
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148 c DSEUPD .
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149 c
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150 c\BeginLib
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151 c
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152 c\References:
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153 c 1. D.C. Sorensen, "Implicit Application of Polynomial Filters in
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154 c a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992),
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155 c pp 357-385.
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156 c 2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly
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157 c Restarted Arnoldi Iteration", Rice University Technical Report
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158 c TR95-13, Department of Computational and Applied Mathematics.
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159 c 3. B.N. Parlett, "The Symmetric Eigenvalue Problem". Prentice-Hall,
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160 c 1980.
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161 c 4. B.N. Parlett, B. Nour-Omid, "Towards a Black Box Lanczos Program",
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162 c Computer Physics Communications, 53 (1989), pp 169-179.
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163 c 5. B. Nour-Omid, B.N. Parlett, T. Ericson, P.S. Jensen, "How to
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164 c Implement the Spectral Transformation", Math. Comp., 48 (1987),
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165 c pp 663-673.
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166 c 6. R.G. Grimes, J.G. Lewis and H.D. Simon, "A Shifted Block Lanczos
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167 c Algorithm for Solving Sparse Symmetric Generalized Eigenproblems",
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168 c SIAM J. Matr. Anal. Apps., January (1993).
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169 c 7. L. Reichel, W.B. Gragg, "Algorithm 686: FORTRAN Subroutines
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170 c for Updating the QR decomposition", ACM TOMS, December 1990,
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171 c Volume 16 Number 4, pp 369-377.
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172 c
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173 c\Remarks
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174 c 1. The converged Ritz values are always returned in increasing
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175 c (algebraic) order.
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176 c
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177 c 2. Currently only HOWMNY = 'A' is implemented. It is included at this
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178 c stage for the user who wants to incorporate it.
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179 c
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180 c\Routines called:
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181 c dsesrt ARPACK routine that sorts an array X, and applies the
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182 c corresponding permutation to a matrix A.
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183 c dsortr dsortr ARPACK sorting routine.
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184 c ivout ARPACK utility routine that prints integers.
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185 c dvout ARPACK utility routine that prints vectors.
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186 c dgeqr2 LAPACK routine that computes the QR factorization of
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187 c a matrix.
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188 c dlacpy LAPACK matrix copy routine.
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189 c dlamch LAPACK routine that determines machine constants.
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190 c dorm2r LAPACK routine that applies an orthogonal matrix in
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191 c factored form.
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192 c dsteqr LAPACK routine that computes eigenvalues and eigenvectors
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193 c of a tridiagonal matrix.
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194 c dger Level 2 BLAS rank one update to a matrix.
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195 c dcopy Level 1 BLAS that copies one vector to another .
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196 c dnrm2 Level 1 BLAS that computes the norm of a vector.
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197 c dscal Level 1 BLAS that scales a vector.
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198 c dswap Level 1 BLAS that swaps the contents of two vectors.
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199
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200 c\Authors
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201 c Danny Sorensen Phuong Vu
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202 c Richard Lehoucq CRPC / Rice University
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203 c Chao Yang Houston, Texas
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204 c Dept. of Computational &
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205 c Applied Mathematics
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206 c Rice University
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207 c Houston, Texas
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208 c
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209 c\Revision history:
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210 c 12/15/93: Version ' 2.1'
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211 c
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212 c\SCCS Information: @(#)
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213 c FILE: seupd.F SID: 2.11 DATE OF SID: 04/10/01 RELEASE: 2
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214 c
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215 c\EndLib
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216 c
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217 c-----------------------------------------------------------------------
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218 subroutine dseupd (rvec , howmny, select, d ,
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219 & z , ldz , sigma , bmat ,
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220 & n , which , nev , tol ,
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221 & resid , ncv , v , ldv ,
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222 & iparam, ipntr , workd , workl,
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223 & lworkl, info )
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224 c
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225 c %----------------------------------------------------%
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226 c | Include files for debugging and timing information |
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227 c %----------------------------------------------------%
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228 c
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229 include 'debug.h'
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230 include 'stat.h'
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231 c
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232 c %------------------%
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233 c | Scalar Arguments |
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234 c %------------------%
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235 c
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236 character bmat, howmny, which*2
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237 logical rvec
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238 integer info, ldz, ldv, lworkl, n, ncv, nev
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239 Double precision
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240 & sigma, tol
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241 c
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242 c %-----------------%
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243 c | Array Arguments |
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244 c %-----------------%
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245 c
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246 integer iparam(7), ipntr(11)
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247 logical select(ncv)
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248 Double precision
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249 & d(nev) , resid(n) , v(ldv,ncv),
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250 & z(ldz, nev), workd(2*n), workl(lworkl)
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251 c
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252 c %------------%
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253 c | Parameters |
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254 c %------------%
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255 c
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256 Double precision
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257 & one, zero
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258 parameter (one = 1.0D+0 , zero = 0.0D+0 )
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259 c
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260 c %---------------%
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261 c | Local Scalars |
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262 c %---------------%
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263 c
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264 character type*6
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265 integer bounds , ierr , ih , ihb , ihd ,
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266 & iq , iw , j , k , ldh ,
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267 & ldq , mode , msglvl, nconv , next ,
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268 & ritz , irz , ibd , np , ishift,
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269 & leftptr, rghtptr, numcnv, jj
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270 Double precision
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271 & bnorm2 , rnorm, temp, temp1, eps23
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272 logical reord
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273 c
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274 c %----------------------%
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275 c | External Subroutines |
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276 c %----------------------%
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277 c
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278 external dcopy , dger , dgeqr2 , dlacpy , dorm2r , dscal ,
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279 & dsesrt , dsteqr , dswap , dvout , ivout , dsortr
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280 c
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281 c %--------------------%
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282 c | External Functions |
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283 c %--------------------%
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284 c
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285 Double precision
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286 & dnrm2 , dlamch
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287 external dnrm2 , dlamch
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288 c
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289 c %---------------------%
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290 c | Intrinsic Functions |
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291 c %---------------------%
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292 c
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293 intrinsic min
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294 c
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295 c %-----------------------%
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296 c | Executable Statements |
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297 c %-----------------------%
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298 c
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299 c %------------------------%
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300 c | Set default parameters |
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301 c %------------------------%
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302 c
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303 msglvl = mseupd
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304 mode = iparam(7)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
305 nconv = iparam(5)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
306 info = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
307 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
308 c %--------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
309 c | Quick return |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
310 c %--------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
311 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
312 if (nconv .eq. 0) go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
313 ierr = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
314 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
315 if (nconv .le. 0) ierr = -14
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
316 if (n .le. 0) ierr = -1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
317 if (nev .le. 0) ierr = -2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
318 if (ncv .le. nev .or. ncv .gt. n) ierr = -3
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
319 if (which .ne. 'LM' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
320 & which .ne. 'SM' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
321 & which .ne. 'LA' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
322 & which .ne. 'SA' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
323 & which .ne. 'BE') ierr = -5
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
324 if (bmat .ne. 'I' .and. bmat .ne. 'G') ierr = -6
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
325 if ( (howmny .ne. 'A' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
326 & howmny .ne. 'P' .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
327 & howmny .ne. 'S') .and. rvec )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
328 & ierr = -15
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
329 if (rvec .and. howmny .eq. 'S') ierr = -16
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
330 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
331 if (rvec .and. lworkl .lt. ncv**2+8*ncv) ierr = -7
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
332 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
333 if (mode .eq. 1 .or. mode .eq. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
334 type = 'REGULR'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
335 else if (mode .eq. 3 ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
336 type = 'SHIFTI'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
337 else if (mode .eq. 4 ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
338 type = 'BUCKLE'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
339 else if (mode .eq. 5 ) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
340 type = 'CAYLEY'
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
341 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
342 ierr = -10
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
343 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
344 if (mode .eq. 1 .and. bmat .eq. 'G') ierr = -11
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
345 if (nev .eq. 1 .and. which .eq. 'BE') ierr = -12
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
346 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
347 c %------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
348 c | Error Exit |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
349 c %------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
350 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
351 if (ierr .ne. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
352 info = ierr
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
353 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
354 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
355 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
356 c %-------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
357 c | Pointer into WORKL for address of H, RITZ, BOUNDS, Q |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
358 c | etc... and the remaining workspace. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
359 c | Also update pointer to be used on output. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
360 c | Memory is laid out as follows: |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
361 c | workl(1:2*ncv) := generated tridiagonal matrix H |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
362 c | The subdiagonal is stored in workl(2:ncv). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
363 c | The dead spot is workl(1) but upon exiting |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
364 c | dsaupd stores the B-norm of the last residual |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
365 c | vector in workl(1). We use this !!! |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
366 c | workl(2*ncv+1:2*ncv+ncv) := ritz values |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
367 c | The wanted values are in the first NCONV spots. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
368 c | workl(3*ncv+1:3*ncv+ncv) := computed Ritz estimates |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
369 c | The wanted values are in the first NCONV spots. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
370 c | NOTE: workl(1:4*ncv) is set by dsaupd and is not |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
371 c | modified by dseupd . |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
372 c %-------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
373 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
374 c %-------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
375 c | The following is used and set by dseupd . |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
376 c | workl(4*ncv+1:4*ncv+ncv) := used as workspace during |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
377 c | computation of the eigenvectors of H. Stores |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
378 c | the diagonal of H. Upon EXIT contains the NCV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
379 c | Ritz values of the original system. The first |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
380 c | NCONV spots have the wanted values. If MODE = |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
381 c | 1 or 2 then will equal workl(2*ncv+1:3*ncv). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
382 c | workl(5*ncv+1:5*ncv+ncv) := used as workspace during |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
383 c | computation of the eigenvectors of H. Stores |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
384 c | the subdiagonal of H. Upon EXIT contains the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
385 c | NCV corresponding Ritz estimates of the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
386 c | original system. The first NCONV spots have the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
387 c | wanted values. If MODE = 1,2 then will equal |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
388 c | workl(3*ncv+1:4*ncv). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
389 c | workl(6*ncv+1:6*ncv+ncv*ncv) := orthogonal Q that is |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
390 c | the eigenvector matrix for H as returned by |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
391 c | dsteqr . Not referenced if RVEC = .False. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
392 c | Ordering follows that of workl(4*ncv+1:5*ncv) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
393 c | workl(6*ncv+ncv*ncv+1:6*ncv+ncv*ncv+2*ncv) := |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
394 c | Workspace. Needed by dsteqr and by dseupd . |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
395 c | GRAND total of NCV*(NCV+8) locations. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
396 c %-------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
397 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
398 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
399 ih = ipntr(5)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
400 ritz = ipntr(6)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
401 bounds = ipntr(7)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
402 ldh = ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
403 ldq = ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
404 ihd = bounds + ldh
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
405 ihb = ihd + ldh
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
406 iq = ihb + ldh
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
407 iw = iq + ldh*ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
408 next = iw + 2*ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
409 ipntr(4) = next
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
410 ipntr(8) = ihd
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
411 ipntr(9) = ihb
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
412 ipntr(10) = iq
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
413 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
414 c %----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
415 c | irz points to the Ritz values computed |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
416 c | by _seigt before exiting _saup2. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
417 c | ibd points to the Ritz estimates |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
418 c | computed by _seigt before exiting |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
419 c | _saup2. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
420 c %----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
421 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
422 irz = ipntr(11)+ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
423 ibd = irz+ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
424 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
425 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
426 c %---------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
427 c | Set machine dependent constant. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
428 c %---------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
429 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
430 eps23 = dlamch ('Epsilon-Machine')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
431 eps23 = eps23**(2.0D+0 / 3.0D+0 )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
432 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
433 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
434 c | RNORM is B-norm of the RESID(1:N). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
435 c | BNORM2 is the 2 norm of B*RESID(1:N). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
436 c | Upon exit of dsaupd WORKD(1:N) has |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
437 c | B*RESID(1:N). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
438 c %---------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
439 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
440 rnorm = workl(ih)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
441 if (bmat .eq. 'I') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
442 bnorm2 = rnorm
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
443 else if (bmat .eq. 'G') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
444 bnorm2 = dnrm2 (n, workd, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
445 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
446 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
447 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
448 call dvout (logfil, ncv, workl(irz), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
449 & '_seupd: Ritz values passed in from _SAUPD.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
450 call dvout (logfil, ncv, workl(ibd), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
451 & '_seupd: Ritz estimates passed in from _SAUPD.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
452 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
453 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
454 if (rvec) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
455 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
456 reord = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
457 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
458 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
459 c | Use the temporary bounds array to store indices |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
460 c | These will be used to mark the select array later |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
461 c %---------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
462 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
463 do 10 j = 1,ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
464 workl(bounds+j-1) = j
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
465 select(j) = .false.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
466 10 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
467 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
468 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
469 c | Select the wanted Ritz values. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
470 c | Sort the Ritz values so that the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
471 c | wanted ones appear at the tailing |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
472 c | NEV positions of workl(irr) and |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
473 c | workl(iri). Move the corresponding |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
474 c | error estimates in workl(bound) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
475 c | accordingly. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
476 c %-------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
477 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
478 np = ncv - nev
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
479 ishift = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
480 call dsgets (ishift, which , nev ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
481 & np , workl(irz) , workl(bounds),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
482 & workl)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
483 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
484 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
485 call dvout (logfil, ncv, workl(irz), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
486 & '_seupd: Ritz values after calling _SGETS.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
487 call dvout (logfil, ncv, workl(bounds), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
488 & '_seupd: Ritz value indices after calling _SGETS.')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
489 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
490 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
491 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
492 c | Record indices of the converged wanted Ritz values |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
493 c | Mark the select array for possible reordering |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
494 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
495 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
496 numcnv = 0
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
497 do 11 j = 1,ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
498 temp1 = max(eps23, abs(workl(irz+ncv-j)) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
499 jj = workl(bounds + ncv - j)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
500 if (numcnv .lt. nconv .and.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
501 & workl(ibd+jj-1) .le. tol*temp1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
502 select(jj) = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
503 numcnv = numcnv + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
504 if (jj .gt. nev) reord = .true.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
505 endif
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
506 11 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
507 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
508 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
509 c | Check the count (numcnv) of converged Ritz values with |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
510 c | the number (nconv) reported by _saupd. If these two |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
511 c | are different then there has probably been an error |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
512 c | caused by incorrect passing of the _saupd data. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
513 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
514 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
515 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
516 call ivout(logfil, 1, numcnv, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
517 & '_seupd: Number of specified eigenvalues')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
518 call ivout(logfil, 1, nconv, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
519 & '_seupd: Number of "converged" eigenvalues')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
520 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
521 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
522 if (numcnv .ne. nconv) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
523 info = -17
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
524 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
525 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
526 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
527 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
528 c | Call LAPACK routine _steqr to compute the eigenvalues and |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
529 c | eigenvectors of the final symmetric tridiagonal matrix H. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
530 c | Initialize the eigenvector matrix Q to the identity. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
531 c %-----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
532 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
533 call dcopy (ncv-1, workl(ih+1), 1, workl(ihb), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
534 call dcopy (ncv, workl(ih+ldh), 1, workl(ihd), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
535 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
536 call dsteqr ('Identity', ncv, workl(ihd), workl(ihb),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
537 & workl(iq) , ldq, workl(iw), ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
538 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
539 if (ierr .ne. 0) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
540 info = -8
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
541 go to 9000
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
542 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
543 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
544 if (msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
545 call dcopy (ncv, workl(iq+ncv-1), ldq, workl(iw), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
546 call dvout (logfil, ncv, workl(ihd), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
547 & '_seupd: NCV Ritz values of the final H matrix')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
548 call dvout (logfil, ncv, workl(iw), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
549 & '_seupd: last row of the eigenvector matrix for H')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
550 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
551 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
552 if (reord) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
553 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
554 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
555 c | Reordered the eigenvalues and eigenvectors |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
556 c | computed by _steqr so that the "converged" |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
557 c | eigenvalues appear in the first NCONV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
558 c | positions of workl(ihd), and the associated |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
559 c | eigenvectors appear in the first NCONV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
560 c | columns. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
561 c %---------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
562 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
563 leftptr = 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
564 rghtptr = ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
565 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
566 if (ncv .eq. 1) go to 30
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
567 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
568 20 if (select(leftptr)) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
569 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
570 c %-------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
571 c | Search, from the left, for the first Ritz |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
572 c | value that has not converged. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
573 c %-------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
574 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
575 leftptr = leftptr + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
576 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
577 else if ( .not. select(rghtptr)) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
578 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
579 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
580 c | Search, from the right, the first Ritz value |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
581 c | that has converged. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
582 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
583 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
584 rghtptr = rghtptr - 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
585 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
586 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
587 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
588 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
589 c | Swap the Ritz value on the left that has not |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
590 c | converged with the Ritz value on the right |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
591 c | that has converged. Swap the associated |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
592 c | eigenvector of the tridiagonal matrix H as |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
593 c | well. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
594 c %----------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
595 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
596 temp = workl(ihd+leftptr-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
597 workl(ihd+leftptr-1) = workl(ihd+rghtptr-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
598 workl(ihd+rghtptr-1) = temp
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
599 call dcopy (ncv, workl(iq+ncv*(leftptr-1)), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
600 & workl(iw), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
601 call dcopy (ncv, workl(iq+ncv*(rghtptr-1)), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
602 & workl(iq+ncv*(leftptr-1)), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
603 call dcopy (ncv, workl(iw), 1,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
604 & workl(iq+ncv*(rghtptr-1)), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
605 leftptr = leftptr + 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
606 rghtptr = rghtptr - 1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
607 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
608 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
609 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
610 if (leftptr .lt. rghtptr) go to 20
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
611 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
612 30 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
613 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
614 if (msglvl .gt. 2) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
615 call dvout (logfil, ncv, workl(ihd), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
616 & '_seupd: The eigenvalues of H--reordered')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
617 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
618 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
619 c %----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
620 c | Load the converged Ritz values into D. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
621 c %----------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
622 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
623 call dcopy (nconv, workl(ihd), 1, d, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
624 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
625 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
626 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
627 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
628 c | Ritz vectors not required. Load Ritz values into D. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
629 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
630 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
631 call dcopy (nconv, workl(ritz), 1, d, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
632 call dcopy (ncv, workl(ritz), 1, workl(ihd), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
633 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
634 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
635 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
636 c %------------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
637 c | Transform the Ritz values and possibly vectors and corresponding |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
638 c | Ritz estimates of OP to those of A*x=lambda*B*x. The Ritz values |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
639 c | (and corresponding data) are returned in ascending order. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
640 c %------------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
641 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
642 if (type .eq. 'REGULR') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
643 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
644 c %---------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
645 c | Ascending sort of wanted Ritz values, vectors and error |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
646 c | bounds. Not necessary if only Ritz values are desired. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
647 c %---------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
648 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
649 if (rvec) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
650 call dsesrt ('LA', rvec , nconv, d, ncv, workl(iq), ldq)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
651 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
652 call dcopy (ncv, workl(bounds), 1, workl(ihb), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
653 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
654 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
655 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
656 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
657 c %-------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
658 c | * Make a copy of all the Ritz values. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
659 c | * Transform the Ritz values back to the original system. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
660 c | For TYPE = 'SHIFTI' the transformation is |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
661 c | lambda = 1/theta + sigma |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
662 c | For TYPE = 'BUCKLE' the transformation is |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
663 c | lambda = sigma * theta / ( theta - 1 ) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
664 c | For TYPE = 'CAYLEY' the transformation is |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
665 c | lambda = sigma * (theta + 1) / (theta - 1 ) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
666 c | where the theta are the Ritz values returned by dsaupd . |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
667 c | NOTES: |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
668 c | *The Ritz vectors are not affected by the transformation. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
669 c | They are only reordered. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
670 c %-------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
671 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
672 call dcopy (ncv, workl(ihd), 1, workl(iw), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
673 if (type .eq. 'SHIFTI') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
674 do 40 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
675 workl(ihd+k-1) = one / workl(ihd+k-1) + sigma
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
676 40 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
677 else if (type .eq. 'BUCKLE') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
678 do 50 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
679 workl(ihd+k-1) = sigma * workl(ihd+k-1) /
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
680 & (workl(ihd+k-1) - one)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
681 50 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
682 else if (type .eq. 'CAYLEY') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
683 do 60 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
684 workl(ihd+k-1) = sigma * (workl(ihd+k-1) + one) /
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
685 & (workl(ihd+k-1) - one)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
686 60 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
687 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
688 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
689 c %-------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
690 c | * Store the wanted NCONV lambda values into D. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
691 c | * Sort the NCONV wanted lambda in WORKL(IHD:IHD+NCONV-1) |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
692 c | into ascending order and apply sort to the NCONV theta |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
693 c | values in the transformed system. We will need this to |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
694 c | compute Ritz estimates in the original system. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
695 c | * Finally sort the lambda`s into ascending order and apply |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
696 c | to Ritz vectors if wanted. Else just sort lambda`s into |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
697 c | ascending order. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
698 c | NOTES: |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
699 c | *workl(iw:iw+ncv-1) contain the theta ordered so that they |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
700 c | match the ordering of the lambda. We`ll use them again for |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
701 c | Ritz vector purification. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
702 c %-------------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
703 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
704 call dcopy (nconv, workl(ihd), 1, d, 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
705 call dsortr ('LA', .true., nconv, workl(ihd), workl(iw))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
706 if (rvec) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
707 call dsesrt ('LA', rvec , nconv, d, ncv, workl(iq), ldq)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
708 else
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
709 call dcopy (ncv, workl(bounds), 1, workl(ihb), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
710 call dscal (ncv, bnorm2/rnorm, workl(ihb), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
711 call dsortr ('LA', .true., nconv, d, workl(ihb))
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
712 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
713 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
714 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
715 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
716 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
717 c | Compute the Ritz vectors. Transform the wanted |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
718 c | eigenvectors of the symmetric tridiagonal H by |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
719 c | the Lanczos basis matrix V. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
720 c %------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
721 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
722 if (rvec .and. howmny .eq. 'A') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
723 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
724 c %----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
725 c | Compute the QR factorization of the matrix representing |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
726 c | the wanted invariant subspace located in the first NCONV |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
727 c | columns of workl(iq,ldq). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
728 c %----------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
729 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
730 call dgeqr2 (ncv, nconv , workl(iq) ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
731 & ldq, workl(iw+ncv), workl(ihb),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
732 & ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
733 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
734 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
735 c | * Postmultiply V by Q. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
736 c | * Copy the first NCONV columns of VQ into Z. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
737 c | The N by NCONV matrix Z is now a matrix representation |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
738 c | of the approximate invariant subspace associated with |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
739 c | the Ritz values in workl(ihd). |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
740 c %--------------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
741 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
742 call dorm2r ('Right', 'Notranspose', n ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
743 & ncv , nconv , workl(iq),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
744 & ldq , workl(iw+ncv), v ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
745 & ldv , workd(n+1) , ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
746 call dlacpy ('All', n, nconv, v, ldv, z, ldz)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
747 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
748 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
749 c | In order to compute the Ritz estimates for the Ritz |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
750 c | values in both systems, need the last row of the |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
751 c | eigenvector matrix. Remember, it`s in factored form |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
752 c %-----------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
753 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
754 do 65 j = 1, ncv-1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
755 workl(ihb+j-1) = zero
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
756 65 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
757 workl(ihb+ncv-1) = one
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
758 call dorm2r ('Left', 'Transpose' , ncv ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
759 & 1 , nconv , workl(iq) ,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
760 & ldq , workl(iw+ncv), workl(ihb),
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
761 & ncv , temp , ierr)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
762 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
763 else if (rvec .and. howmny .eq. 'S') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
764 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
765 c Not yet implemented. See remark 2 above.
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
766 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
767 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
768 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
769 if (type .eq. 'REGULR' .and. rvec) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
770 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
771 do 70 j=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
772 workl(ihb+j-1) = rnorm * abs( workl(ihb+j-1) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
773 70 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
774 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
775 else if (type .ne. 'REGULR' .and. rvec) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
776 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
777 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
778 c | * Determine Ritz estimates of the theta. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
779 c | If RVEC = .true. then compute Ritz estimates |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
780 c | of the theta. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
781 c | If RVEC = .false. then copy Ritz estimates |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
782 c | as computed by dsaupd . |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
783 c | * Determine Ritz estimates of the lambda. |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
784 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
785 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
786 call dscal (ncv, bnorm2, workl(ihb), 1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
787 if (type .eq. 'SHIFTI') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
788 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
789 do 80 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
790 workl(ihb+k-1) = abs( workl(ihb+k-1) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
791 & / workl(iw+k-1)**2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
792 80 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
793 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
794 else if (type .eq. 'BUCKLE') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
795 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
796 do 90 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
797 workl(ihb+k-1) = sigma * abs( workl(ihb+k-1) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
798 & / (workl(iw+k-1)-one )**2
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
799 90 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
800 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
801 else if (type .eq. 'CAYLEY') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
802 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
803 do 100 k=1, ncv
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
804 workl(ihb+k-1) = abs( workl(ihb+k-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
805 & / workl(iw+k-1)*(workl(iw+k-1)-one) )
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
806 100 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
807 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
808 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
809 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
810 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
811 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
812 if (type .ne. 'REGULR' .and. msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
813 call dvout (logfil, nconv, d, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
814 & '_seupd: Untransformed converged Ritz values')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
815 call dvout (logfil, nconv, workl(ihb), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
816 & '_seupd: Ritz estimates of the untransformed Ritz values')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
817 else if (msglvl .gt. 1) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
818 call dvout (logfil, nconv, d, ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
819 & '_seupd: Converged Ritz values')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
820 call dvout (logfil, nconv, workl(ihb), ndigit,
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
821 & '_seupd: Associated Ritz estimates')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
822 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
823 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
824 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
825 c | Ritz vector purification step. Formally perform |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
826 c | one of inverse subspace iteration. Only used |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
827 c | for MODE = 3,4,5. See reference 7 |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
828 c %-------------------------------------------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
829 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
830 if (rvec .and. (type .eq. 'SHIFTI' .or. type .eq. 'CAYLEY')) then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
831 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
832 do 110 k=0, nconv-1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
833 workl(iw+k) = workl(iq+k*ldq+ncv-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
834 & / workl(iw+k)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
835 110 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
836 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
837 else if (rvec .and. type .eq. 'BUCKLE') then
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
838 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
839 do 120 k=0, nconv-1
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
840 workl(iw+k) = workl(iq+k*ldq+ncv-1)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
841 & / (workl(iw+k)-one)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
842 120 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
843 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
844 end if
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
845 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
846 if (type .ne. 'REGULR')
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
847 & call dger (n, nconv, one, resid, 1, workl(iw), 1, z, ldz)
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
848 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
849 9000 continue
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
850 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
851 return
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
852 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
853 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
854 c | End of dseupd |
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
855 c %---------------%
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
856 c
9f5d2ef078e8 import ARPACK sources to libcruft from Debian package libarpack2 2.1+parpack96.dfsg-3+b1
John W. Eaton <jwe@octave.org>
parents:
diff changeset
857 end